A CHARACTERIZATION OF HARDY SPACE ON STRONGLY LIPSCHITZ DOMAINS OF Rn BY LITTLEWOOD-PALEY-STEIN FUNCTION

被引：4
|
作者：
Huang, Jizheng [1 ]
机构：
[1] N China Univ Technol, Coll Sci, Beijing 100144, Peoples R China
来源：
COMMUNICATIONS IN CONTEMPORARY MATHEMATICS | 2010年 / 12卷 / 01期
基金：
中国国家自然科学基金;
关键词：
Strongly Lipschitz domain; Hardy space; atomic decomposition; elliptic second-order operator; Littlewood-Paley-Stein function; BOUNDARY-VALUE-PROBLEMS; SMOOTH DOMAIN; R(N);
D O I：
10.1142/S0219199710003749
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
Let Omega be a strongly Lipschitz domain of R-n and define Hardy spaces on Omega by non-tangential maximal function. In this paper, we will give a characterization of the Hardy spaces on Omega by Littlwood-Paley-Stein function associated to L, where L is an elliptic second-order divergence operator. In order to get our result, we also consider the Lusin area integral characterization of the Hardy spaces on Omega.
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页码：71 / 84
页数：14
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